Question

at a point on the ground 27.6 meters from the foot of a flagpole, the angle of elevation to the top of the pole is 60 degrees what is the lenth of the flagpole?

Answer 1

You're looking for h. Do you know how to use the trig identities to solve for a side of the triangle?

Answer 2

You know an angle, you know the adjacent side, and you are trying to find the opposite side. Which function relates those parts? (angle, opposite, and adjacent)

Answer 3

Tangent

Answer 4

Right. so can you set up an equation involving h, and the tangent function, and the known side length?

Answer 5

\[\tan(60)=\frac{ h }{ 27.6}\]

Answer 6

and then I just solve for h?

Answer 7

Exactly! :)

Answer 8

Okay thank you so much!

Answer 9

You're welcome!